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Finding the Fourth Proportional to 12,238.32, 16,888.56 and 6,932.64

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Solution

The fourth proportional to 12,238.32, 16,888.56 and 6,932.64 is: 9,566.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,238.32 : 16,888.56 = 6,932.64 : x
  2. Step 2: Convert to fraction form
    12,238.32/16,888.56 = 6,932.64/x
  3. Step 3: Cross multiply
    12,238.32x = 16,888.56 × 6,932.64
  4. Step 4: Simplify right side
    12,238.32x = 117,082,306.60
  5. Step 5: Solve for x
    x = 117,082,306.60/12,238.32
  6. Step 6: Final answer
    x = 9,566.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.